The Hardy Space of a Slit Domain

• Κύριοι συγγραφείς: Aleman, Alexandru (Συγγραφέας), Ross, William T. (Συγγραφέας), Feldman, Nathan S. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2009.
• Σειρά: Frontiers in Mathematics,
• Θέματα: Mathematics.; Functions of complex variables.; Functions of a Complex Variable.

If H is a Hilbert space and T : H ? H is a continous linear operator, a natural question to ask is: What are the closed subspaces M of H for which T M ? M? Of course the famous invariant subspace problem asks whether or not T has any non-trivial invariant subspaces. This monograph is part of a long...

Πίνακας περιεχομένων:

• Preliminaries
• Nearly invariant subspaces
• Nearly invariant and the backward shift
• Nearly invariant and de Branges spaces
• Invariant subspaces of the slit disk
• Cyclic invariant subspaces
• The essential spectrum
• Other applications
• Domains with several slits
• Final thoughts.